What is the Greatest Common Factor of 4991 and 5005?

Greatest common factor (GCF) of 4991 and 5005 is 7.

GCF(4991,5005) = 7

We will now calculate the prime factors of 4991 and 5005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4991 and 5005.

How to find the GCF of 4991 and 5005?

We will first find the prime factorization of 4991 and 5005. After we will calculate the factors of 4991 and 5005 and find the biggest common factor number .

Step-1: Prime Factorization of 4991

Prime factors of 4991 are 7, 23, 31. Prime factorization of 4991 in exponential form is:

4991 = 7¹ × 23¹ × 31¹

Step-2: Prime Factorization of 5005

Prime factors of 5005 are 5, 7, 11, 13. Prime factorization of 5005 in exponential form is:

5005 = 5¹ × 7¹ × 11¹ × 13¹

Step-3: Factors of 4991

List of positive integer factors of 4991 that divides 4991 without a remainder.

1, 7, 23, 31, 161, 217, 713

Step-4: Factors of 5005

List of positive integer factors of 5005 that divides 4991 without a remainder.

1, 5, 7, 11, 13, 35, 55, 65, 77, 91, 143, 385, 455, 715, 1001

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4991 and 5005. The biggest common factor number is the GCF number.
So the greatest common factor 4991 and 5005 is 7.

Also check out the Least Common Multiple of 4991 and 5005